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Geometry |
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Authors: Antony Ryan
Kissing Numbers (1) appear to be the product of dimension number and the dimension’s simplex vertex number for 0-3 Euclidean spatial dimensions, but depart from the linear product of dimension and dimension+1 relationship at 4-dimensions and above increasing away from this exponentially. For 0-8 dimensions there is a Coxeter Number root system type relationship. The author proposes a very simple relationship which satisfies both aforementioned patterns, but extends from dimension 0 infinitely upwards. The conjecture is seen to satisfy the non-root system 24-dimensions and leads to prediction. The simplex nature of this work may be utilised in Quantum Gravity theories similar to Causal Dynamical Triangulation.
Comments: 7 Pages.
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[v1] 2013-09-23 10:51:46 (removed)
[v2] 2013-09-23 14:12:48
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